Decimal to Fraction Calculator

Convert a decimal value to a fraction using our calculator. Simply enter a decimal value and the calculator will find the reduced fraction, and will show all the work so you can see how to do it. See our fraction to decimal calculator to see how to convert a fraction to a decimal.

Decimal:

Solution:

.75

=

3

4

Convert the decimal into a fraction by putting the decimal over 1 in fraction format

0.75

=

.75

1

Multiply the numerator and denominator by 10 to eliminate decimal places

0.75 × 10

1 × 10

=

7.5

10

Multiply the numerator and denominator by 10 to eliminate decimal places

7.5 × 10

10 × 10

=

75

100

Reduce the fraction by finding the greatest common factor. The greatest common factor of 75 and 100 is 25

Divide the numerator and denominator by the greatest common factor (25)

75 ÷ 25

100 ÷ 25

=

3

4

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How to Convert a Decimal to a Fraction

Create the Starting Fraction

The first step to converting a decimal to a fraction is to create a starting fraction by making the decimal the numerator and putting that over 1 as the denominator. For example, to convert .75 to a fraction, start by making .75 a fraction like this: .75/1.

Multiply by Ten to Eliminate the Decimal Place

The next step is to multiply the numerator and the denominator by 10 to get rid of the decimal place. Continue multiplying both by 10 until the numerator is an integer value. For example, .75/1 = 7.5/10 = 75/100.

Reduce the Fraction

The final step in converting a decimal to a fraction is to reduce or simplify the fraction. To reduce, find the greatest common factor for the numerator and denominator. The greatest common factor of 75 and 100 is 25. Now, divide both the numerator and the denominator by the greatest common factor. For example, 75/100 = (75 ÷ 25) / (100 ÷ 25) = 3/4. You can also use our reduce fractions calculator to reduce your fraction.

Decimal Equivalents for Common Fractions

See the decimal equivalents for some common fractions below. Use this table for convenience to see the corresponding fraction for a decimal.